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Models of Elliptical Galaxies
•Crossing times: Tcross ~ R/V
•Relaxation time then varies as
•Trelax ~ 0.2(N/logN) Tcross where N is the number of stars in the system
•For galaxies, crossing times ~1/100 the age of the universe (100 million years), and the relaxation times are on order of 1017 years – so close interactions between stars essentially never happen.  “Collisionless” is a good approximation.  This is because N is large, and the collision must be very close for another star’s potential to overwhelm the ensemble potential.
•Note: this argument is NOT true for Globular Clusters!  Also not true for galaxy clusters!
•The upshot of this is that you can treat galaxies in terms of motions in a global potential.
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